0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.36 % Computer : n019.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8046.5625MB 0.11/0.36 % OS : Linux 6.8.0-71-generic 0.11/0.36 % CPULimit : 1440 0.11/0.36 % WCLimit : 180 0.11/0.36 % DateTime : Mon Jul 27 09:34:52 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.41 Running higher-order theorem proving 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.Wry785V5Z3/E---3.1_2276339.p 0.15/0.44 % Version: 3.5.1-ho 0.15/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.15/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 % Starting new_ho_10 with 900s (5) cores 0.15/0.44 % Starting new_bool_1 with 180s (1) cores 0.15/0.44 % Starting full_lambda_5 with 180s (1) cores 0.15/0.44 % Starting new_ho_10_unif with 180s (1) cores 0.15/0.44 % new_ho_10_unif with pid 2276355 completed with status 0 0.15/0.44 % Result found by new_ho_10_unif 0.15/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.15/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 % Starting new_ho_10 with 900s (5) cores 0.15/0.44 % Starting new_bool_1 with 180s (1) cores 0.15/0.44 % Starting full_lambda_5 with 180s (1) cores 0.15/0.44 % Starting new_ho_10_unif with 180s (1) cores 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.15/0.44 % No SInE strategy applied 0.15/0.44 % Search class: HGHNS-FFSF11-SFFFFFNN 0.15/0.44 % partial match(1): HGHNF-FFSF11-SFFFFFNN 0.15/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.15/0.44 % Starting SubtermCWHack with 17s (1) cores 0.15/0.44 % SubtermCWHack with pid 2276356 completed with status 0 0.15/0.44 % Result found by SubtermCWHack 0.15/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.15/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 % Starting new_ho_10 with 900s (5) cores 0.15/0.44 % Starting new_bool_1 with 180s (1) cores 0.15/0.44 % Starting full_lambda_5 with 180s (1) cores 0.15/0.44 % Starting new_ho_10_unif with 180s (1) cores 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.15/0.44 % No SInE strategy applied 0.15/0.44 % Search class: HGHNS-FFSF11-SFFFFFNN 0.15/0.44 % partial match(1): HGHNF-FFSF11-SFFFFFNN 0.15/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.15/0.44 % Starting SubtermCWHack with 17s (1) cores 0.15/0.44 % Preprocessing time : 0.001 s 0.15/0.44 0.15/0.44 % Proof found! 0.15/0.44 % SZS status Theorem 0.15/0.44 % SZS output start CNFRefutation 0.15/0.44 thf(decl_23, type, a: $i). 0.15/0.44 thf(decl_24, type, factorial_plus_one: $i > $i). 0.15/0.44 thf(decl_25, type, less: $i > $i > $o). 0.15/0.44 thf(decl_26, type, prime: $i > $o). 0.15/0.44 thf(decl_27, type, prime_divisor: $i > $i). 0.15/0.44 thf(decl_28, type, divides: $i > $i > $o). 0.15/0.44 thf(cNUM016_1, conjecture, ~((((((((((((![X1:$i]:(~((less @ X1 @ X1)))&![X1:$i, X2:$i]:((~((less @ X2 @ X1))|~((less @ X1 @ X2)))))&![X1:$i]:((divides @ X1 @ X1)))&![X1:$i, X2:$i]:((~((less @ X2 @ X1))|~((divides @ X1 @ X2)))))&![X1:$i]:(((prime @ X1)|(prime @ (prime_divisor @ X1)))))&![X1:$i]:((~((prime @ X1))|~((less @ a @ X1))|(less @ (factorial_plus_one @ a) @ X1))))&(prime @ a))&![X1:$i]:(((prime @ X1)|(less @ (prime_divisor @ X1) @ X1))))&![X1:$i]:(((prime @ X1)|(divides @ (prime_divisor @ X1) @ X1))))&![X1:$i, X2:$i]:((~((divides @ X1 @ (factorial_plus_one @ X2)))|(less @ X2 @ X1))))&![X1:$i]:((less @ X1 @ (factorial_plus_one @ X1))))&![X1:$i, X2:$i, X3:$i]:((~((divides @ X1 @ X2))|~((divides @ X2 @ X3))|(divides @ X1 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.Wry785V5Z3/E---3.1_2276339.p', cNUM016_1)). 0.15/0.44 thf(c_0_1, negated_conjecture, ~(~((((((((((((![X1:$i]:(~((less @ X1 @ X1)))&![X1:$i, X2:$i]:((~((less @ X2 @ X1))|~((less @ X1 @ X2)))))&![X1:$i]:((divides @ X1 @ X1)))&![X1:$i, X2:$i]:((~((less @ X2 @ X1))|~((divides @ X1 @ X2)))))&![X1:$i]:(((prime @ X1)|(prime @ (prime_divisor @ X1)))))&![X1:$i]:((~((prime @ X1))|~((less @ a @ X1))|(less @ (factorial_plus_one @ a) @ X1))))&(prime @ a))&![X1:$i]:(((prime @ X1)|(less @ (prime_divisor @ X1) @ X1))))&![X1:$i]:(((prime @ X1)|(divides @ (prime_divisor @ X1) @ X1))))&![X1:$i, X2:$i]:((~((divides @ X1 @ (factorial_plus_one @ X2)))|(less @ X2 @ X1))))&![X1:$i]:((less @ X1 @ (factorial_plus_one @ X1))))&![X1:$i, X2:$i, X3:$i]:((~((divides @ X1 @ X2))|~((divides @ X2 @ X3))|(divides @ X1 @ X3)))))), inference(assume_negation,[status(cth)],[cNUM016_1])). 0.15/0.44 thf(c_0_2, negated_conjecture, ~(~((((((((((((![X1:$i]:(~(less @ X1 @ X1))&![X1:$i, X2:$i]:((~(less @ X2 @ X1)|~(less @ X1 @ X2))))&![X1:$i]:((divides @ X1 @ X1)))&![X1:$i, X2:$i]:((~(less @ X2 @ X1)|~(divides @ X1 @ X2))))&![X1:$i]:(((prime @ X1)|(prime @ (prime_divisor @ X1)))))&![X1:$i]:((~(prime @ X1)|~(less @ a @ X1)|(less @ (factorial_plus_one @ a) @ X1))))&(prime @ a))&![X1:$i]:(((prime @ X1)|(less @ (prime_divisor @ X1) @ X1))))&![X1:$i]:(((prime @ X1)|(divides @ (prime_divisor @ X1) @ X1))))&![X1:$i, X2:$i]:((~(divides @ X1 @ (factorial_plus_one @ X2))|(less @ X2 @ X1))))&![X1:$i]:((less @ X1 @ (factorial_plus_one @ X1))))&![X1:$i, X2:$i, X3:$i]:((~(divides @ X1 @ X2)|~(divides @ X2 @ X3)|(divides @ X1 @ X3)))))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.15/0.44 thf(c_0_3, negated_conjecture, ![X20:$i, X21:$i, X22:$i, X23:$i, X24:$i, X25:$i, X26:$i, X27:$i, X28:$i, X29:$i, X30:$i, X31:$i, X32:$i, X33:$i, X34:$i, X35:$i]:((((((((((((~(less @ X20 @ X20)&(~(less @ X22 @ X21)|~(less @ X21 @ X22)))&(divides @ X23 @ X23))&(~(less @ X25 @ X24)|~(divides @ X24 @ X25)))&((prime @ X26)|(prime @ (prime_divisor @ X26))))&(~(prime @ X27)|~(less @ a @ X27)|(less @ (factorial_plus_one @ a) @ X27)))&(prime @ a))&((prime @ X28)|(less @ (prime_divisor @ X28) @ X28)))&((prime @ X29)|(divides @ (prime_divisor @ X29) @ X29)))&(~(divides @ X30 @ (factorial_plus_one @ X31))|(less @ X31 @ X30)))&(less @ X32 @ (factorial_plus_one @ X32)))&(~(divides @ X33 @ X34)|~(divides @ X34 @ X35)|(divides @ X33 @ X35)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])). 0.15/0.44 thf(c_0_4, negated_conjecture, ![X2:$i, X1:$i]:((~((less @ X1 @ X2))|~((less @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_5, negated_conjecture, ![X1:$i]:(((prime @ X1)|(less @ (prime_divisor @ X1) @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_6, negated_conjecture, ![X1:$i]:(~((less @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_7, negated_conjecture, ![X1:$i]:(((less @ (factorial_plus_one @ a) @ X1)|~((prime @ X1))|~((less @ a @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_8, negated_conjecture, ![X1:$i]:((less @ X1 @ (factorial_plus_one @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_9, negated_conjecture, ![X1:$i]:(((prime @ X1)|~((less @ X1 @ (prime_divisor @ X1))))), inference(spm,[status(thm)],[c_0_4, c_0_5])). 0.15/0.44 thf(c_0_10, negated_conjecture, ~((prime @ (factorial_plus_one @ a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])])). 0.15/0.44 thf(c_0_11, negated_conjecture, (~((less @ a @ (prime_divisor @ (factorial_plus_one @ a))))|~((prime @ (prime_divisor @ (factorial_plus_one @ a))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_7]), c_0_10])). 0.15/0.44 thf(c_0_12, negated_conjecture, ![X1:$i]:(((prime @ X1)|(prime @ (prime_divisor @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_13, negated_conjecture, ![X1:$i, X2:$i]:(((less @ X2 @ X1)|~((divides @ X1 @ (factorial_plus_one @ X2))))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_14, negated_conjecture, ![X1:$i]:(((prime @ X1)|(divides @ (prime_divisor @ X1) @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.44 thf(c_0_15, negated_conjecture, ~((less @ a @ (prime_divisor @ (factorial_plus_one @ a)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_10])). 0.15/0.44 thf(c_0_16, negated_conjecture, ![X1:$i]:(((less @ X1 @ (prime_divisor @ (factorial_plus_one @ X1)))|(prime @ (factorial_plus_one @ X1)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.15/0.44 thf(c_0_17, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_10]), ['proof']). 0.15/0.44 % SZS output end CNFRefutation 0.15/0.44 % Parsed axioms : 7 0.15/0.44 % Removed by relevancy pruning/SinE : 0 0.15/0.44 % Initial clauses : 18 0.15/0.44 % Removed in clause preprocessing : 6 0.15/0.44 % Initial clauses in saturation : 12 0.15/0.44 % Processed clauses : 25 0.15/0.44 % ...of these trivial : 0 0.15/0.44 % ...subsumed : 5 0.15/0.44 % ...remaining for further processing : 20 0.15/0.44 % Other redundant clauses eliminated : 0 0.15/0.44 % Clauses deleted for lack of memory : 0 0.15/0.44 % Backward-subsumed : 1 0.15/0.44 % Backward-rewritten : 0 0.15/0.44 % Generated clauses : 18 0.15/0.44 % ...of the previous two non-redundant : 15 0.15/0.44 % ...aggressively subsumed : 0 0.15/0.44 % Contextual simplify-reflections : 0 0.15/0.44 % Paramodulations : 18 0.15/0.44 % Factorizations : 0 0.15/0.44 % NegExts : 0 0.15/0.44 % Equation resolutions : 0 0.15/0.44 % Disequality decompositions : 0 0.15/0.44 % Total rewrite steps : 5 0.15/0.44 % ...of those cached : 2 0.15/0.44 % Propositional unsat checks : 0 0.15/0.44 % Propositional check models : 0 0.15/0.44 % Propositional check unsatisfiable : 0 0.15/0.44 % Propositional clauses : 0 0.15/0.44 % Propositional clauses after purity: 0 0.15/0.44 % Propositional unsat core size : 0 0.15/0.44 % Propositional preprocessing time : 0.000 0.15/0.44 % Propositional encoding time : 0.000 0.15/0.44 % Propositional solver time : 0.000 0.15/0.44 % Success case prop preproc time : 0.000 0.15/0.44 % Success case prop encoding time : 0.000 0.15/0.44 % Success case prop solver time : 0.000 0.15/0.44 % Current number of processed clauses : 19 0.15/0.44 % Positive orientable unit clauses : 3 0.15/0.44 % Positive unorientable unit clauses: 0 0.15/0.44 % Negative unit clauses : 4 0.15/0.44 % Non-unit-clauses : 12 0.15/0.44 % Current number of unprocessed clauses: 2 0.15/0.44 % ...number of literals in the above : 5 0.15/0.44 % Current number of archived formulas : 0 0.15/0.44 % Current number of archived clauses : 1 0.15/0.44 % Clause-clause subsumption calls (NU) : 15 0.15/0.44 % Rec. Clause-clause subsumption calls : 15 0.15/0.44 % Non-unit clause-clause subsumptions : 1 0.15/0.44 % Unit Clause-clause subsumption calls : 2 0.15/0.44 % Rewrite failures with RHS unbound : 0 0.15/0.44 % BW rewrite match attempts : 0 0.15/0.44 % BW rewrite match successes : 0 0.15/0.44 % Condensation attempts : 0 0.15/0.44 % Condensation successes : 0 0.15/0.44 % Termbank termtop insertions : 1221 0.15/0.44 % Search garbage collected termcells : 182 0.15/0.44 0.15/0.44 % ------------------------------------------------- 0.15/0.44 % User time : 0.003 s 0.15/0.44 % System time : 0.003 s 0.15/0.44 % Total time : 0.006 s 0.15/0.44 % Maximum resident set size: 3584 pages 0.15/0.44 0.15/0.44 % ------------------------------------------------- 0.15/0.44 % User time : 0.005 s 0.15/0.44 % System time : 0.006 s 0.15/0.44 % Total time : 0.011 s 0.15/0.44 % Maximum resident set size: 4608 pages 0.15/0.44 % E exiting 0.15/0.45 EOF